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Abstract

The inherent distortion caused by the optics in an optical character recognition (OCR) scanner, causes nonlinearity in the scanning control system. This circuit provides the necessary correction factor to linearize the position control apparatus.

Country

United States

Language

English (United States)

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Bilinear Function Circuit

The inherent distortion caused by the optics in an optical character
recognition (OCR) scanner, causes nonlinearity in the scanning control system.
This circuit provides the necessary correction factor to linearize the position
control apparatus.

Fig. 1 shows a typical error curve encountered when making the
initial mechanical setup of the scanning mechanism. The straight
line ABC with a breakpoint at X(o) represents an approximate linear
representation of the error condition. In order to compensate for
the nonlinearity, a bilinear function is used.
f(X) = m(1)x+b(1) x </- X(o)

m(2)x+b(2) x >/- X(o)
where:

b(2) = K = (m(1) - m(2)) x(o) + b(1)

x(o) = Breakover point.

The circuit of Fig. 3 is designed to have zero output up to V(in) = V(X(o)),
where V(X(o)) is continuously variable from some negative value to some
positive value, as shown in Fig. 2. Also, the gain is continuously variable from
some negative to some positive value for V(in) > V(X(o)). The actual range of
gain and breakpoint voltages depends on circuit constants.

The bilinear circuit is utilized in a system, as shown in Fig. 4. The system
gain and offset adjustment are set to match the line segments at position X <
X(o). The potentiometer P1 (Fig. 3) is adjusted so that the breakpoint X(o) is set
to V(X(o)). The gain potentiometer P2 is adjusted to match the line segment at
positions X > X(o).